Average personal income in one state increased approximately linearly from $23.7 thousand in 2000 to $37.2 thousand in 2010. Average personal income in another state increased approximately linearly from $28.9 thousand in 2000 to $38.5 thousand in 2010. Answer parts a through c. ..... a. Let H(t) be the average personal income in one state and C(t) be the average personal income in another state, both in thousands of dollars, in the year that is t years since 2000. Find equations of H and C. H(t)= (Use integers or decimals for any numbers in the expression.) C(t)= (Use integers or decimals for any numbers in the expression.) b. Use substitution or elimination to predict when average personal incomes of the states will be equal. What is the average personal income? In average personal incomes of the states will be equal. (Round to the nearest year as needed.) The average personal income will be $ thousand. (Round to two decimal places as needed.) c. Use "intersect" on a graphing calculator to verify your work in part (b). The x- and y-coordinates of the point of intersection are x = and y = (Round to two decimal places as needed.) K